CLEAN, ALMOST CLEAN, POTENT COMMUTATIVE RINGS

DOI10.1142/S0219498807002466zbMath1152.13006OpenAlexW2081061619MaRDI QIDQ3502764

K. Varadarajan

Publication date: 20 May 2008

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498807002466

zbMATH Keywords

clean ringsalmost clean ringszero-dimensional spacesGelfand ringspotent ringsclopen \(\pi\)-base

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Conditions on elements (16U99) Units, groups of units (associative rings and algebras) (16U60) General commutative ring theory (13A99)

Related Items

Rings in which idempotents generate maximal or minimal ideals ⋮ Some new classes of topological spaces and annihilator ideals ⋮ On feckly clean rings

Cites Work

• When is \(C(X)\) a clean ring?
• EXTENSIONS OF CLEAN RINGS
• COMMUTATIVE RINGS WHOSE ELEMENTS ARE A SUM OF A UNIT AND IDEMPOTENT
• Clean Elements in Commutative Reduced Rings
• Strongly 𝜋-regular rings have stable range one
• On pm-rings
• Components of finite groups
• Clean Semiprimef-Rings with Bounded Inversion
• Semiclean Rings
• Study of Hopficity in Certain Classes of Rings